<\/p>\n
\\begin{eqnarray}
\n\\nabla\\cdot \\boldsymbol{E} &=& 0 \\tag{1}\\\\
\n\\nabla\\cdot\\boldsymbol{B} &=& 0 \\tag{2}\\\\
\n\\nabla\\times\\boldsymbol{E} + \\frac{\\partial \\boldsymbol{B}}{\\partial t} &=& \\boldsymbol{0}\u00a0 \\tag{3}\\\\
\n\\frac{1}{\\mu_0}\\nabla\\times\\boldsymbol{B} –
\n\\varepsilon_0\\frac{\\partial \\boldsymbol{E}}{\\partial t} &=& \\boldsymbol{0} \\tag{4}
\n\\end{eqnarray}<\/p>\n
\u307e\u305a\uff0c$x$ \u65b9\u5411\u306e\u5e73\u9762\u96fb\u78c1\u6ce2\uff08\u96fb\u5834\uff09\u304c\u307f\u305f\u3059\u3079\u304d\u6ce2\u52d5\u65b9\u7a0b\u5f0f<\/p>\n
$$\\frac{\\partial^2 \\boldsymbol{E}}{\\partial x^2} – \\frac{1}{c^2} \\frac{\\partial^2 \\boldsymbol{E}}{\\partial t^2} = \\boldsymbol{0}$$<\/p>\n
\u306e\u89e3\u3068\u3057\u3066
\n$$\\boldsymbol{E} = \\boldsymbol{E}_0\\,\\cos(x – c t)$$
\n\u3092\u8003\u3048\u308b\u3002<\/p>\n
$(1)$ \u5f0f $\\displaystyle \\nabla\\cdot\\boldsymbol{E} = \\frac{\\partial E_x}{\\partial x} = 0$ \u3088\u308a $E_x = 0$ \u3067\u3042\u308b\u3002\u3053\u3053\u3067\u306f\uff0c$\\boldsymbol{E}_0 \\Rightarrow (0, 0, E_0)$ \u3068\u304a\u3053\u3046\u3002<\/p>\n
$$\\therefore\\ \\ \\boldsymbol{E} = \\left(0, 0, E_0 \\cos(x – c t) \\right)$$<\/p>\n
\u6b21\u306b\uff0c\u78c1\u5834 $\\boldsymbol{B}$ \u3082\u540c\u3058\u6ce2\u52d5\u65b9\u7a0b\u5f0f\u3092\u307f\u305f\u3059\u3053\u3068\u304b\u3089
\n$$\\boldsymbol{B} = \\boldsymbol{B}_0\\,f(x – c t)$$
\n\u3068\u304a\u3051\u308b\u3002<\/p>\n
$(2)$ \u5f0f $\\displaystyle \\nabla\\cdot\\boldsymbol{B} = \\frac{\\partial B_x}{\\partial x} = 0$ \u3088\u308a $B_x = 0$ \u3067\u3042\u308b\u3002<\/p>\n
\u307e\u305f\uff0c$(3)$ \u5f0f\u306e $z$ \u6210\u5206\u306f<\/p>\n
$$\\frac{\\partial B_z}{\\partial t} =
\n– \\left(\\frac{\\partial E_y}{\\partial x}- \\frac{\\partial E_x}{\\partial y}\\right) = 0$$<\/p>\n
\u3067\u3042\u308b\u304b\u3089\uff0c$B_z = 0$ \u3067\u3042\u308b\u3002<\/p>\n
\u307e\u305f\uff0c$(3)$ \u5f0f\u306e $y$ \u6210\u5206\u306f<\/p>\n
$$\\frac{\\partial B_y}{\\partial t} =
\n– \\left(\\frac{\\partial E_z}{\\partial x}- \\frac{\\partial E_x}{\\partial z}\\right)$$<\/p>\n
\u3053\u308c\u304b\u3089 $B_y$ \u304c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f97\u3089\u308c\u308b\u3002<\/p>\n
$$\\therefore\\ \\ \\boldsymbol{B} = \\left(0, B_0 \\cos(x – c t), 0 \\right)= \\left(0, -\\frac{E_0}{c} \\cos(x – c t), 0 \\right)$$<\/p>\n
\u9069\u5b9c\uff0c\u5b9a\u6570\u90e8\u5206\u3092\u898f\u683c\u5316\u3057\u3066
\n\\begin{eqnarray}
\n\\boldsymbol{E} &=& \\left(0, 0, E_0 \\cos(x – c t) \\right) \\Rightarrow (0, 0, \\cos(x-t))\\\\
\n\\boldsymbol{B} &=& \\left(0, -\\frac{E_0}{c} \\cos(x – c t), 0 \\right)\\Rightarrow (0, -\\cos(x-t), 0)
\n\\end{eqnarray}<\/p>\n<\/div>\n<\/div>\n<\/div>\n
reset<\/span>\r\n# \u96fb\u78c1\u5834<\/span>\r\nEz<\/span>(x, t) =<\/span> cos<\/span>(<\/span>x<\/span> -<\/span> t<\/span>)<\/span>\r\nBy<\/span>(x, t) =<\/span> -<\/span> cos<\/span>(<\/span>x<\/span> -<\/span> t<\/span>)<\/span>\r\nE<\/span>(x, t) =<\/span> abs<\/span>(<\/span>Ez<\/span>(<\/span>x<\/span>,<\/span> t<\/span>))<\/span>\r\nB<\/span>(x, t) =<\/span> abs<\/span>(<\/span>By<\/span>(<\/span>x<\/span>,<\/span> t<\/span>))<\/span>\r\n# \u4e09\u9805\u6f14\u7b97\u5b50\u3092\u7528\u3044\u305f\u6761\u4ef6\u5206\u5c90\u3092\u4f7f\u3063\u3066<\/span>\r\n# \u6700\u80cc\u9762\u306e\u30d9\u30af\u30c8\u30eb\u304b\u3089\u63cf\u304f\u305f\u3081\u306e\u5b9a\u7fa9<\/span>\r\n# \u5f8c\u308d\u306b\u306a\u3063\u3066\u96a0\u308c\u308b\u30d9\u30af\u30c8\u30eb\u3092\u5148\u306b\u63cf\u304f<\/span>\r\nEzp<\/span>(x, t) =<\/span> (<\/span>Ez<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span>><\/span>0<\/span>)<\/span> ?<\/span> Ez<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span>:<\/span>0<\/span>\r\nEzm<\/span>(x, t) =<\/span> (<\/span>Ez<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span><<\/span>0<\/span>)<\/span> ?<\/span> Ez<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span>:<\/span>0<\/span>\r\nByp<\/span>(x, t) =<\/span> (<\/span>By<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span>><\/span>0<\/span>)<\/span> ?<\/span> By<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span>:<\/span>0<\/span>\r\nBym<\/span>(x, t) =<\/span> (<\/span>By<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span><<\/span>0<\/span>)<\/span> ?<\/span> By<\/span>(<\/span>x<\/span>,<\/span> t<\/span>)<\/span>:<\/span>0<\/span>\r\n\r\nreset<\/span>\r\nunset<\/span> xtics<\/span>\r\nunset<\/span> ytics<\/span>\r\nunset<\/span> ztics<\/span>\r\nunset<\/span> border<\/span>\r\n#set zeroaxis<\/span>\r\n\r\nxini<\/span> =<\/span> -<\/span>pi<\/span>\/<\/span>2<\/span>\r\nxend<\/span> =<\/span> 6.<\/span>*<\/span>pi<\/span>-<\/span>pi<\/span>\/<\/span>2<\/span>\r\nN<\/span> =<\/span> 30<\/span>\r\ndx<\/span> =<\/span> (<\/span>xend<\/span>-<\/span>xini<\/span>)<\/span>\/<\/span>N<\/span>\r\n\r\n# \u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u306e\u5ea7\u6a19\u30c7\u30fc\u30bf\u30d5\u30a1\u30a4\u30eb\u4f5c\u6210<\/span>\r\nset<\/span> print<\/span> \"on-x-axis.txt\"<\/span>\r\ndo<\/span> for<\/span> [<\/span>i<\/span>=<\/span>0<\/span>:<\/span> N<\/span>]<\/span> {<\/span>\r\n x<\/span> =<\/span> xini<\/span> +<\/span> dx<\/span> *<\/span> i<\/span>\r\n print<\/span> sprintf<\/span>(<\/span>\"%8.4f %8.4f %8.4f\"<\/span>,<\/span> x<\/span>,<\/span> 0<\/span>,<\/span> 0<\/span>)<\/span>\r\n }<\/span>\r\nset<\/span> print<\/span>\r\n\r\nset<\/span> xrange<\/span> [<\/span>xini<\/span>:<\/span>xend<\/span>+<\/span>2<\/span>]<\/span>\r\nset<\/span> yrange<\/span> [<\/span>-1<\/span>.2<\/span>:<\/span>1.2<\/span>]<\/span>\r\nset<\/span> zrange<\/span> [<\/span>-1<\/span>.2<\/span>:<\/span>1.2<\/span>]<\/span>\r\nset<\/span> view<\/span> ,,,<\/span>1.7<\/span>\r\nset<\/span> samples<\/span> 1000<\/span>,<\/span> 1000<\/span>\r\nset<\/span> parametric<\/span>\r\nset<\/span> key<\/span>